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    LCM for 8, 14 and 16

    "Least Common Multiple of 3 Numbers" Calculator
    Least Common Multiple of
    ,
    and

    What's the Least Common Multiple (LCM) of 8, 14 and 16?

    Answer

    LCM of 8, 14 and 16 is
    112

    First common multiples: 112, 224, 336, …

    112 is divisible by all three: 112 ÷ 8 = 14, 112 ÷ 14 = 8, 112 ÷ 16 = 7 — and 14, 8 and 7 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/8 by 14 and of y/14 by 8 and of z/16 by 7.

    8 = 23

    14 = 2 × 7

    16 = 24

    Prime81416Highest power
    22322424
    7—7—7

    — = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

    LCM = 24 × 7 = 112

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/8--14--16Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/8--14--16">What is the LCM of 8, 14 and 16? - Calculatio</a>Copy
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    What is the LCM of 8, 14 and 16? The LCM of 8, 14 and 16 is 112 — the smallest number all three divide with no remainder. Step-by-step solution for three numbers.
    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/8--14--16/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    181456
    281456
    3814168
    481456
    5814280
    6814168
    781456
    881456
    8914504
    81014280
    81114616
    81214168
    81314728
    8141456
    81415840
    81416112
    81417952
    81418504
    814191,064
    81420280
    81421168
    81422616
    814231,288
    81424168
    814251,400
    81426728
    814271,512
    8142856
    814291,624
    81430840

    FAQ

    What's the Least Common Multiple (LCM) of 8, 14 and 16?

    LCM of 8, 14 and 16 is 112

    How to find the LCM of 8, 14 and 16 by prime factorization?

    Take every prime that appears in 8, 14 and 16 to the highest power it reaches in any one of them and multiply: 2⁴ × 7 = 112.

    Can you get the LCM of 8, 14 and 16 two numbers at a time?

    Yes. The LCM of 8 and 14 is 56, and the LCM of 56 and 16 is 112 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 112 divisible by 8, 14 and 16?

    Yes, and by definition it is the smallest positive integer that is: 112 ÷ 8, 112 ÷ 14 and 112 ÷ 16 all come out whole. Any other common multiple of 8, 14 and 16 is a multiple of 112.

    See Also